$On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$$

On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$

Abstract In this work, a biharmonic elliptic system is investigated in RN $\mathbb{R}^{N}$, which involves singular potentials and multiple critical exponents. By the Rellich inequality and the symmetric criticality principle, the existence and multiplicity of G-invariant solutions to the system are...

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Main Authors:	Zhiying Deng, Dong Xu, Yisheng Huang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-04-01
Series:	Boundary Value Problems
Subjects:	G-invariant solution Rellich inequality Symmetric criticality principle Biharmonic elliptic system
Online Access:	http://link.springer.com/article/10.1186/s13661-018-0971-5

id	doaj-ac7262c1470442e4b6a58fa5aa39e21f
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spelling	doaj-ac7262c1470442e4b6a58fa5aa39e21f2020-11-24T21:45:59ZengSpringerOpenBoundary Value Problems1687-27702018-04-012018112110.1186/s13661-018-0971-5On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$Zhiying Deng0Dong Xu1Yisheng Huang2Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and TelecommunicationsKey Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and TelecommunicationsDepartment of Mathematics, Soochow UniversityAbstract In this work, a biharmonic elliptic system is investigated in RN $\mathbb{R}^{N}$, which involves singular potentials and multiple critical exponents. By the Rellich inequality and the symmetric criticality principle, the existence and multiplicity of G-invariant solutions to the system are established. To our best knowledge, our results are new even in the scalar cases.http://link.springer.com/article/10.1186/s13661-018-0971-5G-invariant solutionRellich inequalitySymmetric criticality principleBiharmonic elliptic system
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhiying Deng Dong Xu Yisheng Huang
spellingShingle	Zhiying Deng Dong Xu Yisheng Huang On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$ Boundary Value Problems G-invariant solution Rellich inequality Symmetric criticality principle Biharmonic elliptic system
author_facet	Zhiying Deng Dong Xu Yisheng Huang
author_sort	Zhiying Deng
title	On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$
title_short	On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$
title_full	On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$
title_fullStr	On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$
title_full_unstemmed	On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$
title_sort	on g-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in rn $r^{n}$
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2018-04-01
description	Abstract In this work, a biharmonic elliptic system is investigated in RN $\mathbb{R}^{N}$, which involves singular potentials and multiple critical exponents. By the Rellich inequality and the symmetric criticality principle, the existence and multiplicity of G-invariant solutions to the system are established. To our best knowledge, our results are new even in the scalar cases.
topic	G-invariant solution Rellich inequality Symmetric criticality principle Biharmonic elliptic system
url	http://link.springer.com/article/10.1186/s13661-018-0971-5
work_keys_str_mv	AT zhiyingdeng onginvariantsolutionsofasingularbiharmonicellipticsysteminvolvingmultiplecriticalexponentsinrnrn AT dongxu onginvariantsolutionsofasingularbiharmonicellipticsysteminvolvingmultiplecriticalexponentsinrnrn AT yishenghuang onginvariantsolutionsofasingularbiharmonicellipticsysteminvolvingmultiplecriticalexponentsinrnrn
_version_	1725902822474514432

On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN $R^{N}$

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